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Finding the Fourth Proportional to 586.54, 809.78 and 365.60

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Solution

The fourth proportional to 586.54, 809.78 and 365.60 is: 504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.54 : 809.78 = 365.60 : x
  2. Step 2: Convert to fraction form
    586.54/809.78 = 365.60/x
  3. Step 3: Cross multiply
    586.54x = 809.78 × 365.60
  4. Step 4: Simplify right side
    586.54x = 296,055.57
  5. Step 5: Solve for x
    x = 296,055.57/586.54
  6. Step 6: Final answer
    x = 504.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.